Continuum Phi at large zeta and the drifting exponent

Status: numerical — measured, with an error bar and a convergence order; not a theorem.

Area: Theorem A: exact recovery error of the free fermion · Card type: result · Knowledge-base id: large-zeta-values

Statement

Phi(1.07) = 4.410(20)e-3, Phi(2.13) = 1.0797(50)e-2, Phi(4.27) = 2.241(14)e-2, Phi(8.53) = 3.974(72)e-2, Phi(17.1) = 6.41(43)e-2 (best estimates: kappa_c -> infinity extrapolations above the rigorous windowed lower bounds Phi_sub, with estimated, not certified, uncertainties); the window exponent drifts from 2.5 to 1.2 and the local log-slopes from 1.29 to 0.69, matching the lattice exponents.

How to verify

numerics/results_largezeta_certified.txt (flint pipeline).

Evidence

• numerics/results_largezeta_certified.txt — numerics
• numerics/run_largezeta_cert.py — numerics

Related claims

None recorded.

Review

Review record: passed 2026-09-24 by REF-CARD-OVER.

The referee's report and the card's event log stay in the private knowledge base; only the verdict, the date and the referee are published here.

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